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Continuous Nowhere Differentiable Functions The Monsters of Analysis /

This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly. After illuminating the significance of the subject through an overview of its history, the reader is introduced to the sophisticated toolkit of ideas and tricks use...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Jarnicki, Marek (Auteur), Pflug, Peter (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Cham : Springer International Publishing : Imprint: Springer, 2015.
Édition:1st ed. 2015.
Collection:Springer Monographs in Mathematics,
Sujets:
Accès en ligne:Texto Completo
Table des matières:
  • Preface
  • Preliminaries
  • Weierstrass type functions I
  • Takagi-van der Waerden type functions I
  • Bolzano type functions I
  • Other examples
  • Baire category approach
  • Weierstrass type functions II
  • Takagi-van der Waerden type functions II
  • Bolzano type functions II
  • Besicovitch-Morse Functions
  • Linear spaces of nowhere differentiable functions
  • Riemann function.